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In general describe the rectangle that has the least area for a fixed perimeter?
For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.
Shapes with the same perimeter do they have the same area?
No.It is not possible for the shape with the same perimeter to have the same area. This is because, to do this, you would have to cut up two shapes into eight pieces, add the amount of them all together and divide them by 7.559832076. By doing this you are breaking the seventh note, this is against the laws of trigonometry there by breaking this rule of concentration, so this statment; having shapes with the same perimeter have the same area, is therefor not true!Thank you.
Why can shapes with the same area have different perimeters?
Shapes with the same area can be different sizes. If you restrict yourself to integers, a rectangle with an area of 12 square inches can have the following dimensions: 1 x 12 (perimeter 26) 2 x 6 (perimeter 16) 3 x 4 (perimeter 14) The long skinny piece has most of its area near the edges. The one that's most like a square has most of its area in the center.
If two shapes have the same perimeter will they have the same area?
Not at all. For example:A square of 2 x 2 will have a perimeter of 8, and an area of 4. A rectangle of 3 x 1 will also have a perimeter of 8, and an area of 3.A "rectangle" of 4 x 0 will also have a perimeter of 8, but the area has shrunk down to zero. The circle has the largest area for a given perimeter/circumference.
A shape with the same area and perimeter?
As a perimeter is a measure of length and has different units to those measuring an area then it is the numerical value that is the same. CIRCLE : area = perimeter occurs when πr2 = 2πr = : r = 2 SQUARE : area = perimeter when d2 = 4d : d = 4, where d is the length of a side.
